13249614696864 has 288 divisors, whose sum is σ = 43728199716096. Its totient is φ = 3481784248320.

The previous prime is 13249614696863. The next prime is 13249614696881. The reversal of 13249614696864 is 46869641694231.

It is a super-2 number, since 2×13249614696864² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13249614696863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16548009 + ... + 17330199.

It is an arithmetic number, because the mean of its divisors is an integer number (151834026792).

Almost surely, 2^{13249614696864} is an apocalyptic number.

13249614696864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13249614696864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864099858048).

13249614696864 is an abundant number, since it is smaller than the sum of its proper divisors (30478585019232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13249614696864 is a wasteful number, since it uses less digits than its factorization.

13249614696864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782508 (or 782493 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 69.

The spelling of 13249614696864 in words is "thirteen trillion, two hundred forty-nine billion, six hundred fourteen million, six hundred ninety-six thousand, eight hundred sixty-four".